Primarily concerned with the study of cohomology theories of general topological spaces with 'general coefficient systems', the parts of sheaf theory covered here are those areas important to algebraic topology. Among the many innovations in this book, the concept of the 'tautness' of a subspace is introduced and exploited; the fact that sheaf theoretic cohomology satisfies the...(展开全部)

Primarily concerned with the study of cohomology theories of general topological spaces with 'general coefficient systems', the parts of sheaf theory covered here are those areas important to algebraic topology. Among the many innovations in this book, the concept of the 'tautness' of a subspace is introduced and exploited; the fact that sheaf theoretic cohomology satisfies the...(展开全部)

This text offers a balanced treatment of quantum field theory, providing both formal presentation and numerous examples. It begins with the standard quantization of electrodynamics, culminating in the perturbative renormalization, and proceeds to functional methods, relativistic bound states, broken symmetries, nonabelian gauge fields, and asymptotic behavior. 157 figures. 1980...(展开全部)

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential...(展开全部)

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential...(展开全部)

This text offers a balanced treatment of quantum field theory, providing both formal presentation and numerous examples. It begins with the standard quantization of electrodynamics, culminating in the perturbative renormalization, and proceeds to functional methods, relativistic bound states, broken symmetries, nonabelian gauge fields, and asymptotic behavior. 157 figures. 1980...(展开全部)

The goal of learning theory is to approximate a function from sample values. To attain this goal learning theory draws on a variety of diverse subjects, specifically statistics, approximation theory, and algorithmics. Ideas from all these areas blended to form a subject whose many successful applications have triggered a rapid growth during the last two decades. This is the fir...(展开全部)